VACUUM SOLUTIONS IN HIGHER DIMENSIONS WITH BRANS–DICKE THEORY

2001 ◽  
Vol 16 (25) ◽  
pp. 1629-1634 ◽  
Author(s):  
SUBENOY CHAKRABORTY ◽  
ANUSUA BAVEJA
Keyword(s):  
Symmetric Space ◽  
Higher Dimensions ◽  
Space Time ◽  
Product Form ◽  
Spherically Symmetric ◽  
Higher Dimensional ◽  
Vacuum Solutions ◽  
Separable Product

Vacuum solutions are obtained in higher-dimensional spherically symmetric space–time with Brans–Dicke theory. Solutions are obtained assuming the metric coefficients to be in separable product form.

NATURE OF THE SINGULARITIES IN HIGHER-DIMENSIONAL HUSAIN SPACE–TIME

2006 ◽  
Vol 15 (09) ◽  
pp. 1359-1371 ◽  
Author(s):  
K. D. PATIL ◽  
S. S. ZADE
Keyword(s):  
Gravitational Collapse ◽  
Dimensional Space ◽  
Higher Dimensions ◽  
Cosmic Censorship ◽  
Space Time ◽  
Spherically Symmetric ◽  
Naked Singularities ◽  
Higher Dimensional ◽  
Dimensional Space Time ◽  
Cosmic Censorship Hypothesis

We generalize the earlier studies on the spherically symmetric gravitational collapse in four-dimensional space–time to higher dimensions. It is found that the central singularities may be naked in higher dimensions but depend sensitively on the choices of the parameters. These naked singularities are found to be gravitationally strong that violate the cosmic censorship hypothesis.

Higher dimensional shear-free radiating collapse

2018 ◽  
Vol 96 (11) ◽  
pp. 1201-1204
Author(s):  
Hassan Shah ◽  
Zahid Ahmad ◽  
Suhail Khan
Keyword(s):  
Heat Flux ◽  
Symmetric Space ◽  
Temperature Profile ◽  
Space Time ◽  
Spherically Symmetric ◽  
Junction Conditions ◽  
Conformally Flat ◽  
Suggested Model ◽  
Proposed Model ◽  
Higher Dimensional

In this paper, shear-free gravitational collapse with heat flux is discussed by considering higher dimensional spherically symmetric space–time as interior metric and higher dimensional Vaidya space–time as exterior metric. The effects of dissipation on collapse are investigated. A simple approximate higher dimensional conformally flat model is proposed that satisfies the junction conditions. Temperature profile of the proposed model is also calculated. It is concluded that dissipation decreases the collapsing rate and temperature profile of the suggested model.

String cosmology in higher dimensional spherically symmetric space-time

Pramana ◽  
1993 ◽  
Vol 40 (3) ◽  
pp. 207-212 ◽  
Author(s):  
Subenoy Chakraborty ◽  
Ashok Kr. Chakraborty
Keyword(s):  
Symmetric Space ◽  
Space Time ◽  
String Cosmology ◽  
Spherically Symmetric ◽  
Higher Dimensional

Induced Quantum Fluctuations in the Spherically Symmetric Space–Time

1997 ◽  
Vol 12 (18) ◽  
pp. 3171-3180 ◽  
Author(s):  
Kamal K. Nandi ◽  
Anwarul Islam ◽  
James Evans
Keyword(s):  
Symmetric Space ◽  
Light Cone ◽  
Quantum Fluctuation ◽  
Quantum Fluctuations ◽  
Dynamical Variable ◽  
Nonrelativistic Limit ◽  
Space Time ◽  
Spherically Symmetric ◽  
Speed Of Light

In the Schwarzschild field due to a mass moving with velocity v → c0, where c0 is the speed of light in vacuum, the source-induced quantum fluctuation in the light cone exhibits consistency with the Aichelburg–Sexl solution while that in the metric dynamical variable does not. At the horizon, none of the fluctuations is proportional to anything finite. However, in the nonrelativistic limit (v → 0), known expressions follow.

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